scholarly journals A New Approach of Functional Dependency in a Neutrosophic Relational Database Model

2019 ◽  
Vol 8 (2) ◽  
pp. 44-48
Author(s):  
Soumitra De ◽  
Jaydev Mishra
Keyword(s):  
Relational Database ◽  
Classical Case ◽  
Functional Dependency ◽  
Neutrosophic Set ◽  
Uncertain Information ◽  
Neutrosophic Sets ◽  
New Approach ◽  
Vague Set ◽  
Database Model ◽  
Relational Data Model

In order to model the imprecise and uncertain information, different classical relational data model have been studied in literature using vague set theory. However, neutrosophic set, as a generalized vague set, has more powerful ability to process fuzzy information than vague set. In this paper, we have proposed a neutrosophic relational database model and have defined a new kind of neutrosophic functional dependency (called  -nfd) based on the -equality of tuples and the similarity measure of neutrosophic sets. Next, we present a set of sound neutrosophic inference rules which are similar to Armstrong’s axioms for the classical case. Finally, partial  -nfdand neutrosophic key have been studied with the new notion of  -nfdand also tested.

scholarly journals A probabilistic relational database model and algebra

2015 ◽  
Vol 31 (4) ◽  
pp. 305
Author(s):  
Hoa Nguyen
Keyword(s):  
Relational Database ◽  
Functional Dependency ◽  
Uncertain Information ◽  
Database Model ◽  
Algebraic Operations ◽  
And Algebra ◽  
Attribute Value

This paper introduces a probabilistic relational database model, called PRDB, for representing and querying uncertain information of objects in practice. To develop the PRDB model, first, we represent the relational attribute value as a pair of probabilistic distributions on a set for modeling the possibility that the attribute can take one of the values of the set with a probability belonging to the interval which is inferred from the pair of probabilistic distributions. Next, on the basis representing such attribute values, we formally define the notions as the schema, relation, probabilistic functional dependency and probabilistic relational algebraic operations for PRDB. In addition, a set of the properties of the probabilistic relational algebraic operations in PRDB also are formulated and proven.

Incomplete information in a relational database

1980 ◽  
Vol 3 (3) ◽  
pp. 363-377
Author(s):  
John Grant
Keyword(s):  
Incomplete Information ◽  
Relational Database ◽  
Functional Dependency ◽  
Relational Algebra ◽  
Database Model ◽  
Character String

In this paper we investigate the inclusion of incomplete information in the relational database model. This is done by allowing nonatomic entries, i.e. sets, as elements in the database. A nonatomic entry is interpreted as a set of possible elements, one of which is the correct one. We deal primarily with numerical entries where an allowed set is an interval, and character string entries. We discuss the various operations of the relational algebra as well as the notion of functional dependency for the database model.

scholarly journals Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 152 ◽  
Author(s):  
Huanying Zhang ◽  
Fei Wang ◽  
Yushui Geng
Keyword(s):  
Decision Making ◽  
Variable Parameter ◽  
Information Aggregation ◽  
Aggregation Operators ◽  
Neutrosophic Set ◽  
Multi Criteria Decision Making ◽  
Uncertain Information ◽  
Neutrosophic Sets ◽  
Decision Systems ◽  
Parameter Values

Schweizer–Sklar (SS) operation can make information aggregation more flexible, and the Muirhead mean (MM) operator can take into account the correlation between inputs by a variable parameter. Because traditional MM is only available for real numbers and single-valued neutrosophic set (SVNS) can better express incomplete and uncertain information in decision systems, in this paper, we applied MM operators to single-valued neutrosophic sets (SVNSs) and presented two new MM aggregation operators with the SS operation, i.e., a single-valued neutrosophic SS Muirhead mean (SVNSSMM) operator and a weighted single-valued neutrosophic SS MM (WSVNSSMM) operator. We listed some properties of them and some particular cases about various parameter values. We also proposed the multi-criteria decision-making method based on the WSVNSSMM operator in SVNS. At last, we illustrated the feasibility of this method using a numerical example of company investment.

scholarly journals A Hybrid Relational Database Model for Uncertain and Imprecise Information

2020 ◽  
Vol 8 (3) ◽  
Author(s):  
Hoa Nguyen
Keyword(s):  
Fuzzy Set ◽  
Relational Database ◽  
Uncertain Information ◽  
Database Model ◽  
Redundant Data ◽  
Probabilistic Database ◽  
Imprecise Information ◽  
Real World Applications ◽  
Database Models ◽  
Algebraic Operations

Recent years, many fuzzy or probabilistic database models have been built for representing and handling imprecise or uncertain information of objects in real-world applications. However, relational database models combining the relevance and strength of both fuzzy set and probability theories have rarely been proposed. This paper introduces a new relational database model, as a hybrid one combining consistently fuzzy set theory and probability theory for modeling and manipulating uncertain and imprecise information, where the uncertainty and imprecision of a relational attribute value are represented by a fuzzy probabilistic triple, the computation and combination of relational attribute values are implemented by using the probabilistic interpretation of binary relations on fuzzy sets, and the elimination of redundant data is dealt with by coalescing e-equivalent tuples. The basic concepts of the classical relational database model are extended in this new model. Then the relational algebraic operations are formally defined accordingly. A set of the properties of the relational algebraic operations is also formulated and proven.

scholarly journals EXTENDING RELATIONAL DATABASE MODEL FOR UNCERTAIN INFORMATION

2019 ◽  
Vol 35 (4) ◽  
pp. 355-372
Author(s):  
Hòa Nguyễn
Keyword(s):  
Relational Database ◽  
Probability Measures ◽  
Uncertain Information ◽  
Probabilistic Interpretation ◽  
Binary Relations ◽  
Finite Sets ◽  
New Model ◽  
Database Model ◽  
Combination Strategies ◽  
Algebraic Operations

In this paper, we propose a new probabilistic relational database model, denote by PRDB, as an extension of the classical relational database model where the uncertainty of relational attribute values and tuples are respectively represented by finite sets and probability intervals. A probabilistic interpretation of binary relations on finite sets is proposed for the computation of their probability measures. The combination strategies on probability intervals are employed to combine attribute values and compute uncertain membership degrees of tuples in a relation. The fundamental concepts of the classical relational database model are extended and generalized for PRDB. Then, the probabilistic relational algebraic operations are formally defined accordingly in PRDB. In addition, a set of the properties of the algebraic operations in this new model also are formulated and proven.

scholarly journals Certain Notions of Neutrosophic Topological K-Algebras

Mathematics ◽  
2018 ◽  
Vol 6 (11) ◽  
pp. 234 ◽  
Author(s):  
Muhammad Akram ◽  
Hina Gulzar ◽  
Florentin Smarandache ◽  
Said Broumi
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Point Of View ◽  
Neutrosophic Set ◽  
Neutrosophic Sets ◽  
Intuitionistic Fuzzy ◽  
Research Article

The concept of neutrosophic set from philosophical point of view was first considered by Smarandache. A single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. In this research article, we apply the notion of single-valued neutrosophic sets to K-algebras. We introduce the notion of single-valued neutrosophic topological K-algebras and investigate some of their properties. Further, we study certain properties, including C 5 -connected, super connected, compact and Hausdorff, of single-valued neutrosophic topological K-algebras. We also investigate the image and pre-image of single-valued neutrosophic topological K-algebras under homomorphism.

Research Background

2013 ◽  
pp. 187-200
Author(s):  
Ibrahim Dweib ◽  
Joan Lu
Keyword(s):  
Data Storage ◽  
Relational Database ◽  
Query Languages ◽  
Xml Schema ◽  
Application Program Interface ◽  
Database Model ◽  
Xml Documents ◽  
Similarities And Differences ◽  
Schema Languages ◽  
Program Interface

In this chapter, the research background is discussed. This includes XML model, XML query languages, XML schema languages, XML Application Program Interface, XML documents types, XML data storage approaches, relational database model, and the similarities and differences between XML model and relational database model. Finally the chapter summary is given.

A Novel Python Toolbox for Single and Interval-Valued Neutrosophic Matrices

2020 ◽  
pp. 281-330
Author(s):  
Said Broumi ◽  
Selçuk Topal ◽  
Assia Bakali ◽  
Mohamed Talea ◽  
Florentin Smarandache
Keyword(s):  
Real Life ◽  
Neutrosophic Sets ◽  
Vague Set ◽  
Life Problems ◽  
Consistent Information ◽  
Interval Valued

Recently, single valued neutrosophic sets and interval valued neutrosophic sets have received great attention among the scholars and have been applied in many applications. These two concepts handle the indeterminacy and consistent information existing in real-life problems. In this chapter, a new Python toolbox is proposed under neutrosophic environment, which consists of some Python code for single valued neutrosophic matrices and interval valued neutrosophic matrices. Some definitions of interval neutrosophic vague set such as union, complement, and intersection are presented. Furthermore, the related examples are included.

Sign in / Sign up

Export Citation Format

Share Document